Reduce any fraction to its simplest form by finding the Greatest Common Divisor.
Fraction to Simplify
Simplified Result
2/5
Lowest Terms
The fraction reduced to its smallest possible integer components
Greatest Common Divisor12
Decimal0.4000
About this calculator
Simplifying Fractions
Simplifying (or reducing) a fraction means finding an equivalent fraction with the smallest possible whole numbers for the numerator and denominator. This is done by dividing both the numerator and denominator by their Greatest Common Divisor (GCD).
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Pro Tips
Identifying GCD: Use the Euclidean algorithm or list the factors of both numbers to find the largest one they share.
Prime Factorization: Breaking both numbers into primes and canceling common ones is a foolproof way to simplify.
Repeating: Sometimes it's easier to simplify in small steps (e.g., dividing by 2 repeatedly) until you can't go any further.
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Fun Facts
"A fraction is in its 'simplest form' when the numerator and denominator are 'coprime' (their GCD is 1)."
"Simplifying fractions makes it much easier to compare different values at a glance."
"Even large fractions like 1000/2000 are logically identical to 1/2 once simplified."
